Finding the Third Proportional to 82,546 and 181,131

Step by Step Solution

1. Step 1: Write the proportion equation
   82,546 : 181,131 = 181,131 : x
2. Step 2: Convert to fraction form
   82,546/181,131 = 181,131/x
3. Step 3: Cross multiply
   82,546x = 181,131 × 181,131
4. Step 4: Simplify right side
   82,546x = 32,808,439,161
5. Step 5: Solve for x
   x = 32,808,439,161/82,546
6. Step 6: Final answer
   x = 397,456.44